Help with circuits - resistors in parallel and in series

In summary, the student attempted to reduce a 27V circuit to a 13 ohm resistor and a 26V battery to solve for current and voltage. They found that voltage drop is the same in resistors in parallel, and struggled with finding the current for resistors in parallel. After working through an example, they were able to solve the problem on their own.
  • #1
chococat
2
0

Homework Statement


http://imgur.com/iTHbpTv
This picture contains the circuit drawn out, and all the provided numbers. It also includes some of my work.

Homework Equations


I=V/R
P=I*R



The Attempt at a Solution


So I attempted to reduce it down to one resistor & one battery (26V, 13 ohms).
I got that the current was 2Amps. I am having difficulty with resistors in parallel.
Honesty, I would appreciate more on how to tackle these types of questions that the actual answers (this is practice for an exam).
I feel really stupid because I don't know what I'm doing once there are resistors in parallel and in series added to the mix.
 
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  • #2
Welcome to PF;

OK - so you have two pairs of resistors in parallel - the pairs are in series, and there is a lone resistor also in series.

Some tips:
You need to make the circuit so it's all one kind of combination ... you do this by combining resistors in clusters.
Here the obvious approach is to tun this into three resistors in series.
You may get circuits where it is easier to turn everything into parallel.

The parallel combination rule is the one with the fractions: $$\frac{1}{R_{tot}}=\frac{1}{R_1}+\frac{1}{R_2}$$ ... the rest is a bit of algebra.

The next thing to realize is that, in a series combination, it does not matter which order the resistors come in. The lone resistor does not have to be between the two sets of parallel resistors.

The image does not actually show any of your work ... just a table with some results on it.
What you should do is work through the example one step at a time here and we will be able to see how you are thinking - and tweak your approach to ace that exam.
 
  • #3
Simon Bridge said:
Welcome to PF;

OK - so you have two pairs of resistors in parallel - the pairs are in series, and there is a lone resistor also in series.

Some tips:
You need to make the circuit so it's all one kind of combination ... you do this by combining resistors in clusters.
Here the obvious approach is to tun this into three resistors in series.
You may get circuits where it is easier to turn everything into parallel.

The parallel combination rule is the one with the fractions: $$\frac{1}{R_{tot}}=\frac{1}{R_1}+\frac{1}{R_2}$$ ... the rest is a bit of algebra.

The next thing to realize is that, in a series combination, it does not matter which order the resistors come in. The lone resistor does not have to be between the two sets of parallel resistors.

The image does not actually show any of your work ... just a table with some results on it.
What you should do is work through the example one step at a time here and we will be able to see how you are thinking - and tweak your approach to ace that exam.


Ok, I understand.
I attempted it again this morning, and was able to find a good website with a good example to work through on my own. I think the problem that I was having was that when I went to find the current for the resistors in parallel, I was getting a higher number than my overall current.
Also, I was having issues with the voltage drop for resistors in parallel.
I think I understand what I was doing wrong- I didn't realize that voltage drop is the same in resistors in parallel, and how I can solve for it & also use it to find my current.
I solved for all the blanks in the table and showed my work too.
I think I got it all right, but if you can double check it, that would be great.
http://i.imgur.com/DCdR6ZF.jpg?1?1905
 
  • #4
Yeah - the "voltage" is actually the property of a point in the circuit rather than the components. If you put the negative terminal of a voltmeter on the ground or negative terminal of the battery, you can use the positive terminal to trace the way the voltage changes as the current goes around.

The voltage across a component is actually the difference between the voltages on either side of the component, which is why you'll see it called the "potential difference".

With the resistors in parallel, the points on either side of one of the resistors are the same as those for the other one ... so the voltage across them is the same.

You can also think of it as a stream flowing downhill - in which case the height is the voltage.
 
  • #5
what helps most is actually drawing each simplified circuit.
I think it is best to do them below the original, in order.
you can organize your work to do the simplification steps on the left of the diagrams, all the way to the bottom, then back-substitute from the bottom right to the top right, near the appropriate "effective resistor" .

"when you find a new current, you can calculate a new voltage".
(and a new voltage allows new current to be calculated)
 
  • #6
chococat said:
I think I got it all right, but if you can double check it, that would be great.
http://i.imgur.com/DCdR6ZF.jpg?1?1905

It is all right, except the power on the 8 ohm resistor.

ehild
 

FAQ: Help with circuits - resistors in parallel and in series

What is the difference between resistors in parallel and in series?

In a parallel circuit, the resistors are connected to the same two points of the circuit, creating multiple paths for the current to flow. This results in a lower overall resistance compared to individual resistors. In a series circuit, the resistors are connected one after the other, creating a single path for the current to flow. This results in a higher overall resistance compared to individual resistors.

How do I calculate the total resistance of resistors in parallel?

The total resistance of resistors in parallel can be calculated using the formula 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn, where R1, R2, R3, etc. are the individual resistances. This can also be simplified to Rtotal = (R1 * R2 * R3 * ... * Rn) / (R1 + R2 + R3 + ... + Rn).

How do I calculate the total resistance of resistors in series?

The total resistance of resistors in series can be calculated by adding the individual resistances together: Rtotal = R1 + R2 + R3 + ... + Rn.

How do I calculate the current in a circuit with resistors in parallel?

To calculate the current in a circuit with resistors in parallel, you can use Ohm's Law (I = V/R) to find the current in each individual branch. Then, you can add these currents together to find the total current in the circuit.

Can I combine resistors in parallel and in series?

Yes, it is possible to have a combination of resistors in parallel and in series in a circuit. In this case, you would need to calculate the total resistance of the parallel branches and then add this to the total resistance of the series branches to find the overall resistance of the circuit.

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